ABSTRACT: Let G=( V,E ) be a graph. The first Zagreb index of a graph G is defined as ∑ u∈V d G 2 ( u ) , where d G ( u ) is the degree of vertex u in G . In this paper, we obtain two lower bounds ...

The graph database market, driven by AI, is growing at a rate of almost 25% annually. Graph databases support knowledge graphs, providing visual guidance for AI development. There are multiple ...

Google’s Knowledge Graph saw its largest contraction in a decade in June: a two-stage, one-week drop of 6.26% – over 3 billion entities deleted. Since 2015, we’ve tracked the Knowledge Graph and have ...

Google published details of a new kind of AI based on graphs called a Graph Foundation Model (GFM) that generalizes to previously unseen graphs and delivers a three to forty times boost in precision ...

Abstract: The Quantum Approximate Optimization Algorithm (QAOA) is a variational quantum algorithm that can be used to approximately solve combinatorial optimization problems. However, a major ...

For decades, engineers have utilized Petri nets to develop automated systems with specific functional requirements or characteristics. Nonetheless, the existing formalism prevents the use of classic ...

Thank you for developing HamGNN. I encountered an issue during the usage process. Could you kindly advise me on how to convert the HamGNN predicted Hamiltonian into the graph_data.npz format?

One of the key concepts in loop quantum gravity is the quantization of spacetime geometry, with discrete observables such as the quantum area and volume. The quantum state of the gravitational field ...

Knowledge graphs are reshaping how we organize and make sense of information. By connecting data points and revealing relationships between them, these powerful tools are transforming industries, from ...

The intersection of computational physics and machine learning has brought significant progress in understanding complex systems, particularly through neural networks. Graph neural networks (GNNs) ...